Plenary
Lecture
Partial differential equations in biosubstance
crystalization
Professor Jelenka Savkovic-Stevanovic
Department of Chemical Engineering
Faculty of Technology and Metallurgy
Belgrade University
Serbia
E-mail:
savkovic@tmf.bg.ac.rs
Abstract: A new perspective for predicative care in
living organism will be presented. The purpose of this
lecture to develop a complementary approach to measuring
ones, based on mathematical tool. A complex functions
with partial differential equations have been applied
for autonomous behaviour of biocrystal growth
consideration. Design of functional complex system has
been illustrated using the associated projections with a
set of properties. The distribution function specifies
spatial coordinates and set of properties. The
biosubstance crystals formation has been considered and
their distribution function was derived. Behaviour
function of crystal growth and designing granulation has
been examined. Crystals population in a perfectly mixed
volume with product removal and without product removal
has been considered. A distribution function of the
complex structure can be defined with geometric
velocities, and time rate of change properties. The
method involving the general balance with correspond to
the integral formulation. The mathematical model which
taking a distribution function of crystal properties can
generate evolutionary algorithm for design of complex
structure. This model has been applied to indicate
crystal structure formation of an enzyme and an amino
acid. These results have been illustrated power of the
new complex model for crystal particles birth and death
simulation. Simulation has been performed in dynamic and
steady state operation under variable loading
conditions.
Brief Biography of the Speaker:
Brief biography of speaker: Jelenka Savkovic-Stevanovic
is a full professor at the University of Belgrade,
Faculty of Technology and Metallurgy, Serbia. Education:
B.Sc. and M.Sc. degree, Faculty of Technology and
Metallurgy, University of Belgrade, PhD University of
Belgrade and Technical University of Berlin. At the
Faculty of Technology and Metallurgy was elected for
assistant 1971st, docent 1982nd, associate professoe
1988th, and full professor 1993rd. She has worked in
U.S.A. from 1994 to 1998.
Her research interests include Chemical systems,
Biochemical systems, Chemical engineering, Process
system engineering, Modelling, Analysis, Synthesis,
Design, Optimization; Advanced numerical methods, Data
base, Expert systems, Learning Systems; Informatics;
Artificial Intelligence, Neural Networks and Fuzzy
Systems; Biosystems, Biomedicine, Bioinformatics and
Biomedical informatics, and Toxicity. Professor
Savkovic-Stevanovic is author of numerous papers,
invited books chapter, books, patentees in the field
(over 800). Consultant in many companies. She has many
awards and honors. She is cited in many monographs and
she is one of the world's 100 top Scientists of the
IBC-International bibliographic Centre, Cambridge, 2007.
The best one Ultimate Achiever-IBC Cambridge, 2009,
2010,2011 and 2012. She had the best paper on the 2nd
WSEAS Inter. Conf. on Biomedical Electronics and
Biomedical Informatics-BEBI2009, Moscow, Russia, August,
20-22,2009 and the best paper on the WSEAS Inter. Conf.
on Mathematics and Computers in Biology and
Chemistry-MCB2010, Iasi, Romania, June, 13-15, 2010. She
is Amabasadsor of Serbia for Sciences, Communications
and Arts.
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